KnowledgeBoat Logo
|

Mathematics

What least number must be added to each term of the ratio 5 : 7 to make it 8 : 9?

Ratio Proportion

1 Like

Answer

Let x be the least number must be added to each term of the ratio 5 : 7 to make it 8 : 9.

⇒5+x7+x=89⇒(5+x)×9=(7+x)×8⇒45+9x=56+8x⇒9x−8x=56−45⇒x=11.\Rightarrow \dfrac{5 + x}{7 + x} = \dfrac{8}{9} \\[1em] \Rightarrow (5 + x) \times 9 = (7 + x) \times 8 \\[1em] \Rightarrow 45 + 9x = 56 + 8x \\[1em] \Rightarrow 9x - 8x = 56 - 45 \\[1em] \Rightarrow x = 11.

Hence, the least number to be added is 11.

Answered By

3 Likes

Related Questions